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Finding the Fourth Proportional to 4,608.78, 6,913.56 and 1,686.38

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Solution

The fourth proportional to 4,608.78, 6,913.56 and 1,686.38 is: 2,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.78 : 6,913.56 = 1,686.38 : x
  2. Step 2: Convert to fraction form
    4,608.78/6,913.56 = 1,686.38/x
  3. Step 3: Cross multiply
    4,608.78x = 6,913.56 × 1,686.38
  4. Step 4: Simplify right side
    4,608.78x = 11,658,889.31
  5. Step 5: Solve for x
    x = 11,658,889.31/4,608.78
  6. Step 6: Final answer
    x = 2,529.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.